update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / drops_weight.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_weight.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_weight.ma
index e6bd458ea4bf9515dd82c12112f649a11dbab94d..975b01523d5fe71972abe1270b33e7188475292b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_weight.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_weight.ma
@@ -21,7 +21,7 @@ include "static_2/relocation/drops.ma".
 (* Forward lemmas with weight for local environments ************************)
 
 (* Basic_2A1: includes: drop_fwd_lw *)
-lemma drops_fwd_lw: ∀b,f,L1,L2. ⇩*[b,f] L1 ≘ L2 → ♯{L2} ≤ ♯{L1}.
+lemma drops_fwd_lw: ∀b,f,L1,L2. ⇩*[b,f] L1 ≘ L2 → ♯❨L2❩ ≤ ♯❨L1❩.
 #b #f #L1 #L2 #H elim H -f -L1 -L2 //
 [ /2 width=3 by transitive_le/
 | #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 normalize
@@ -31,7 +31,7 @@ qed-.
 
 (* Basic_2A1: includes: drop_fwd_lw_lt *)
 lemma drops_fwd_lw_lt: ∀f,L1,L2. ⇩*[Ⓣ,f] L1 ≘ L2 →
-                       (ð\9d\90\88â¦\83fâ¦\84 â\86\92 â\8a¥) â\86\92 â\99¯{L2} < â\99¯{L1}.
+                       (ð\9d\90\88â\9dªfâ\9d« â\86\92 â\8a¥) â\86\92 â\99¯â\9d¨L2â\9d© < â\99¯â\9d¨L1â\9d©.
 #f #L1 #L2 #H elim H -f -L1 -L2
 [ #f #Hf #Hnf elim Hnf -Hnf /2 width=1 by/
 | /3 width=3 by drops_fwd_lw, le_to_lt_to_lt/
@@ -43,14 +43,14 @@ qed-.
 (* Forward lemmas with restricted weight for closures ***********************)
 
 (* Basic_2A1: includes: drop_fwd_rfw *)
-lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⇩*[b,f] L ≘ K.ⓑ{I}V → ∀T. ♯{K,V} < ♯{L,T}.
+lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⇩*[b,f] L ≘ K.ⓑ[I]V → ∀T. ♯❨K,V❩ < ♯❨L,T❩.
 #b #f #I #L #K #V #HLK lapply (drops_fwd_lw … HLK) -HLK
 normalize in ⊢ (%→?→?%%); /3 width=3 by le_to_lt_to_lt, monotonic_lt_plus_r/
 qed-.
 
 (* Advanced inversion lemma *************************************************)
 
-lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⇩*[b,f] L ≘ L.ⓘ{I} → ⊥.
+lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⇩*[b,f] L ≘ L.ⓘ[I] → ⊥.
 #b #f #I #L #H lapply (drops_fwd_lw … H) -b -f
 /2 width=4 by lt_le_false/ (**) (* full auto is a bit slow: 19s *)
 qed-.